406239061536 has 1440 divisors, whose sum is σ = 1594662322176. Its totient is φ = 99153331200.

The previous prime is 406239061517. The next prime is 406239061537. The reversal of 406239061536 is 635160932604.

406239061536 is a `hidden beast` number, since 4 + 0 + 6 + 23 + 9 + 0 + 615 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 406239061491 and 406239061500.

It is not an unprimeable number, because it can be changed into a prime (406239061537) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3198732705 + ... + 3198732831.

Almost surely, 2^406239061536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406239061536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797331161088).

406239061536 is an abundant number, since it is smaller than the sum of its proper divisors (1188423260640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406239061536 is a wasteful number, since it uses less digits than its factorization.

406239061536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 406239061536 in words is "four hundred six billion, two hundred thirty-nine million, sixty-one thousand, five hundred thirty-six".